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101221002201 = 3118343984181
BaseRepresentation
bin101111001000100111…
…1011110101111011001
3100200021021011200101110
41132101033132233121
53124300034032301
6114300021210533
710212231215454
oct1362117365731
9320237150343
10101221002201
1139a22687130
121774a860a49
139711778557
144c8329a49b
1529765230d6
hex17913debd9

101221002201 has 32 divisors (see below), whose sum is σ = 149345602560. Its totient is φ = 60468177600.

The previous prime is 101221002191. The next prime is 101221002203. The reversal of 101221002201 is 102200122101.

It is not a de Polignac number, because 101221002201 - 27 = 101221002073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221002203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160331 + ... + 1244511.

It is an arithmetic number, because the mean of its divisors is an integer number (4667050080).

Almost surely, 2101221002201 is an apocalyptic number.

101221002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221002201 is a deficient number, since it is larger than the sum of its proper divisors (48124600359).

101221002201 is a wasteful number, since it uses less digits than its factorization.

101221002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84717.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101221002201 its reverse (102200122101), we get a palindrome (203421124302).

The spelling of 101221002201 in words is "one hundred one billion, two hundred twenty-one million, two thousand, two hundred one".

Divisors: 1 3 11 33 83 249 439 913 1317 2739 4829 14487 36437 84181 109311 252543 400807 925991 1202421 2777973 6987023 20961069 36955459 76857253 110866377 230571759 406510049 1219530147 3067303097 9201909291 33740334067 101221002201